Problem Statement

Does $2^n \\gt n^2$ hold?

Constraints

• $n$ is an integer between $1$ and $10^9$ (inclusive).

Input

Input is given from Standard Input in the following format:

$n$

Output

If $2^n \\gt n^2$, print Yes; otherwise, print No.

Sample Input 1

5

Sample Output 1

Yes

Since $2^5=32,\\ 5^2=25$, we have $2^n \\gt n^2$, so Yes should be printed.

Sample Input 2

2

Sample Output 2

No

For $n=2$, we have $2^n=n^2=2^2$, so $2^n \\gt n^2$ does not hold. Thus, No should be printed.

Sample Input 3

623947744

Sample Output 3

Yes